𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Hierarchies of aggregation operators

✍ Scribed by Vincenzo Cutello; Javier Montero


Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
879 KB
Volume
9
Category
Article
ISSN
0884-8173

No coin nor oath required. For personal study only.

✦ Synopsis


This article deals with hierarchies of operators. In particular, we will analyze the problem of amalgamating individual opinions into a single group opinion, based upon hierarchical intensity aggregation rules. Our main goal is to decide whether hierarchical amalgamations are supported from an ethical and rational point of view. We will consider two different hierarchical procedures: cover-based hierarchical aggregations and ordered hierarchical aggregations, focusing here our attention to ordered hierarchical aggregations of OWA operators. In particular, we will obtain that basic key properties propagate under both hierarchical amalgamation rules, in the sense that the procedure itself will verify such properties whenever they are assumed for every partial amalgamation defining such a hierarchical procedure.


πŸ“œ SIMILAR VOLUMES


Induced aggregation operators
✍ Ronald R. Yager πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 226 KB
Aggregation operators based on indisting
✍ J. Jacas; J. Recasens πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 301 KB

This article gives a new approach to aggregating assuming that there is an indistinguishability operator or similarity defined on the universe of discourse. The very simple idea is that when we want to aggregate two values a and b we are looking for a value l that is as similar to a as to b or, in a

Nondeterministic aggregation operators a
✍ Vincenzo Cutello; Javier Montero πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 117 KB

We will continue here the research work, the goal of which was to introduce the notion of nondeterministic aggregation operators and study their properties, even in relation to classification systems and the associated learning problem. Here we will concentrate mostly on the notion of the nondetermi